You are visiting the Engineering Office of Denton Hospital, as part of a consulting project. You notice
Question:
You are visiting the Engineering Office of Denton Hospital, as part of a consulting project. You notice some charts on one wall which look familiar to you:
One of the employees notices you reading the charts and explains, "The primary patient care area, Denton Tower, has over 1,000 individual rooms in it. All these rooms are dependent on one central air-conditioning system that we monitor throughout the day. Every hour we measure temperature in Fahrenheit and humidity in a random group of rooms, and mark the averages from this data on these two sets of control charts. We like the charts to be out here in our front office, where everybody in the department can see any patterns forming, as the employees pass through here throughout the day."
a. Which of the following is apparently true, based on your examination of the charts? I. If the average air temperature from one of Engineering's hourly samples was below 70F, they would consider the air-conditioning system to be out of control. II. At least one of the charts you are looking at suggests that assignable varia- tion is present. III. The upper-left-hand chart is a mean chart in which the natural variation in room temperature is a known value.
b. Which of the following is apparently true, based on your examination of the charts? I. Average humidity in a Denton Tower patient room is 58% when the air- conditioning system is in control. II. You are looking at the 10 hours of past data on temperature and humidity in randomly chosen patient rooms. III. In the data marked on the charts, humidity within a sample doesn't vary as much as temperature within a sample.
c. The employee who spoke to you said that every hour temperature and humidity are measured "in a random group of rooms," but how many rooms are appar- ently in that group? In other words, what sample size are they using?
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